摘要
研究了带有免疫的计算机病毒传播模型的稳定性问题。建立具体模型来描述计算机网络中带有免疫的病毒传播模型的动力学特性,得出了模型的无病平衡点和有病平衡点。分别应用Lyapunov第一定理求得无病平衡点渐近稳定的条件和圆盘定理求得有病平衡点渐近稳定的条件。仿真结果表明了所求条件的有效性。
This paper considered stability for transmission model of computer virus with vaccination in networks. Firstly, we got the model of computer virus with vaccination in networks. The disease free equilibrium and the disease equilibrium were first derived from the mathematical model. Then the sufficient conditions of stability for the disease-free equilibrium were obtained by the first Lyapunov method. And the sufficient conditions of stability for the disease equilibrium were given by disc theorem. Simulation results demonstrate the effectiveness of the stability conditions.
出处
《中国海洋大学学报（自然科学版）》
CAS
CSCD
北大核心
2013年第10期110-114,共5页
Periodical of Ocean University of China
基金
国家自然科学基金项目(61074092)
山东省自然科学基金项目(ZR2010FM019)资助
关键词
计算机病毒
传播模型
平衡点
稳定性
computer virus
transmission model
equilibrium
stability
